Good formal structures for flat meromorphic connections, II: Excellent schemes
By Kiran S. Kedlaya. 2010
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Given a flat meromorphic connection on an excellent scheme over a field of characteristic zero, we prove existence of good formal structures after blowing up; this extends a theorem of Mochizuki for algebraic varieties. The argument combines a numerical criterion for good formal structures from a previous paper, with an analysis based on the geometry of an associated valuation space (Riemann-Zariski space). We obtain a similar result over the formal completion of an excellent scheme along a closed subscheme. If we replace the excellent scheme by a complex analytic variety, we obtain a similar but weaker result in which the blowup can only be constructed in a small neighborhood of a prescribed point.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6f2a2a0ed7b5d29f26df415d42363713074792d7
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In Algebra and Number Theory
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Citations in the corpus
- The Stokes Structure of a good meromorphic flat bundle (2011, methodology): “) Later, with a completely different methods, Kedlaya established it in a more general situation [9,10].”